**Minisymposium “Riemann Surfaces”**

at SIAM – Conference on Applied Algebraic Geometry, 9-13 July 2019, Bern, Switzerland

In the past decades, the central role played by Riemann surfaces in pure mathematics has been strengthened with their surprising appearance in string theory, cryptography and material science. This minisymposium is intended for the curve theorists and the avant-garde applied mathematician. Our emphasis will be on the computational aspects of Riemann surfaces that are prominent in pure mathematics but are not yet part of the canon of applied mathematics. Some of the subjects that will be touched upon by our speakers are integrable systems, Teichmüller curves, Arakelov geometry, tropical geometry, arithmetic geometry and cryptography of curves.

**Speakers:**

Simonetta Abenda – Real soliton lattices of KP-II equation and desingularization of spectral curves

Alexander I. Bobenko – Conformal patterns on closed surfaces via discrete conformal maps and holomorphic differentials

Robin de Jong – Arakelov invariants in the tropical limit

Christophe Ritzenthaler – Siegel modular forms and classical invariants

Jeroen Sijsling – Computing endomorphism rings of Jacobians

Anna Somoza – Inverse Jacobian problem for cyclic plane quintic curves

David Torres – Teichmüller curves, Kobayashi geodesics and Hilbert modular forms

Jonathan Zachuber – Counting Special Points on Teichmüller Curves

**Time and place:**

09 July 2019, Tuesday 15:00 – 17:00 at Unitobler, F-107

10 July 2019, Wednesday 15:00 – 17:00 at Unitobler, F-107

**Organizers:**

Daniele Agostini

Türkü Özlüm Çelik

Christian Klein

Emre Can Sertöz